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Limits of multivariate elliptic beta integrals and related bilinear forms

van de Bult, Fokko J. and Rains, Eric M. (2011) Limits of multivariate elliptic beta integrals and related bilinear forms. . (Submitted)

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In this article we consider the elliptic Selberg integral, which is a BC_n symmetric multivariate extension of the elliptic beta integral. We categorize the limits that are obtained as p → 0, for given behavior of the parameters as p → 0. This article is therefore the multivariate version of our earlier paper "Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions". The integrand of the elliptic Selberg integral is the measure for the BC_n symmetric biorthogonal functions introduced by the second author, so we also consider the limits of the associated bilinear form. We also provide the limits for the discrete version of this bilinear form, which is related to a multivariate extension of the Frenkel-Turaev summation.

Item Type:Report or Paper (Discussion Paper)
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Record Number:CaltechAUTHORS:20170922-144400917
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81771
Deposited By: Tony Diaz
Deposited On:22 Sep 2017 22:04
Last Modified:03 Oct 2019 18:46

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